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Finding the Fourth Proportional to 6,382.50, 9,577.85 and 2,486.93

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Solution

The fourth proportional to 6,382.50, 9,577.85 and 2,486.93 is: 3,731.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.50 : 9,577.85 = 2,486.93 : x
  2. Step 2: Convert to fraction form
    6,382.50/9,577.85 = 2,486.93/x
  3. Step 3: Cross multiply
    6,382.50x = 9,577.85 × 2,486.93
  4. Step 4: Simplify right side
    6,382.50x = 23,819,382.18
  5. Step 5: Solve for x
    x = 23,819,382.18/6,382.50
  6. Step 6: Final answer
    x = 3,731.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.